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ollegr [7]
3 years ago
15

(Disjoint vs. overlapping events) If you are picking a number between 1-20 what is the probability that you will pick a number g

reater than 14 or less than 4?
Mathematics
2 answers:
8090 [49]3 years ago
7 0
9/20

the numbers that would satisfy this are 15,16,17,18,19,20, 1,2,3

so there are 9/20
Murrr4er [49]3 years ago
4 0
Greater than 14 = 6/20
less than 4 = 3/20
add them together: 6/20+3/20= 9/20

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What type of conic section is represented by the parametric equations below? X=3cos(t)-1 y=3sin(t)+4
Andrei [34K]

Answer:

Circle

Step-by-step explanation:

Examples of conic sections are the circle, the ellipse, the parabola and the hyperbola. Parametric equations are used to express the x and y variables in terms of a less complicated manner using a third variable (t or θ).

The parametric equation for a circle with an equation (x-h)^2+(y-k)^2=r^2 is given by:

x=rcos(t)+h, y=rsin(t)+k

where r is the radius of the circle and (h, k) is the center of the circle.

A conic section with a parametric equations X=3cos(t)-1, y=3sin(t)+4 is a circle with center at (-1, 4) and radius of 3. The equation of the circle is:

(x + 1)² + (y - 4)² = 3²

3 0
3 years ago
X sqaured plus 4x plus 20 equlas 12x minus 5
skelet666 [1.2K]

Answer:

x² + 4x + 20 = 12x - 5

x² + 4x - 12x + 20 + 5 = 0

x² - 8x + 25 = 0

Δ = √b² - 4ac

= √(-8)² - 4×1×25

= √64-100

= √(-36)

x ∉ R

3 0
3 years ago
Read 2 more answers
A Ford is traveling 20 mph slower than a Buick. The Buick is traveling at a rate of 65 mph. Let F = the the speed of the Ford. W
snow_tiger [21]
Answer: The formula to find the speed of the Ford could be F = B - 20.

Since the Ford is 20 mph slower than the Buick, all you have to do is subtract 20 from the speed of the Buick. We know the speed of the Buick, it is 65.

Therefore, the speed of the Buick is 65 - 20 or 45 mph.
8 0
3 years ago
Whats the roots of the following three problems:
klemol [59]

QUESTION 1

The given function is

f(x)=\frac{(x-3)(x-1)}{(x-1)(x+2)}

We simplify to get;

f(x)=\frac{x-3}{x+2}

This function is equal to zero when x-3=0

\Rightarrow x=3

QUESTION 2

The given function is

f(x)=\frac{5x^2-10x+5}{2x^2-5x+3}

f(x)=\frac{5(x^2-2x+1)}{2x^2-5x+3}

We factor to get;

f(x)=\frac{5(x-1)^2}{(2x-3)(x-1)}

f(x)=\frac{5(x-1)}{(2x-3)}

This function equals zero when

5(x-1)=0

x=1

QUESTION 3

The given function is

f(x)=\frac{x^3-8}{x^2-6x+8}

We factor to get,

f(x)=\frac{(x-2)(x^2+2x+4)}{(x-2)(x+4)}

f(x)=\frac{x^2+2x+4}{x+4}

The function equals zero when x^2+2x+4=0

D=b^2-4ac

D=2^2-4(1)(4)

D=-12

Hence the equation has no real roots.

The complex roots are

x=-\sqrt{3}i-1 or x=-1+\sqrt{3}i

4 0
3 years ago
How many inches are in 4 meters?
e-lub [12.9K]

Answer:

157.48 inches

How I got the answer:

All I used was a yard stick

6 0
3 years ago
Read 2 more answers
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